Answer:
Step-by-step explanation:
http://www.ametys.ma/sites/default/files/webform/03_0.html
http://www.ametys.ma/sites/default/files/webform/04_0.html
http://www.ametys.ma/sites/default/files/webform/05_0.html
Complete Question:
On a number line, the coordinates of X, Y, Z, and W are −8, −5, 4, and 6, respectively. Find the lengths of the two segments below. Then tell whether they are congruent.
and 
Answer:


They are not congruent
Step-by-step explanation:
Length of segment XY:
Coordinate of X = -8
Coordinate of Y = -5
= |-8 -(-5)| = |-8 + 5| = 3
Length of ZW:
Coordinate of Z = 4
Coordinate of W = 6
= |4 - 6| = 2
≠
, therefore, they are not congruent.
Answer: Rs. 1,52,550
Step-by-step explanation:
CP of motorcycle = 125000
Selling Price fixed = 125000 + 20% = 150000
10% discount = 150000*10% = 15000
SP after 10% discount
= 150000-15000= 135000
VAT at 13% = 135000 * .13 = 17550
Mr Gurung paid total
135000 + 17550 = 152550
the width of Yun's area model is 7x units or ( x-2 )units .
<u>Step-by-step explanation:</u>
Here we have , Yun was trying to factor 7x^2-14x. He found that the greatest common factor of these terms was 7x and made an area model: What is the width of Yun's area model. Let's find out:
We know that area of rectangle :
⇒
.........(1)
Now , According to question we have
⇒ 
⇒ 
Comparing this equation to equation (1) we get that :
⇒
or , 
Therefore , the width of Yun's area model is 7x units or ( x-2 )units .
Amount invested in stocks = 46,000
Let "x" be the amount invested in bonds
The amount invested in stock is also = 3x - 8,000
We equate the two amounts above (Since both are related to stock investments), we get,
3x-8000 = 46000
3x = 54000
x =54000/3
x =18000
Amount that Laurie has invested in bonds = $18,000